1487912040000 has 945 divisors, whose sum is σ = 5677644499527. Its totient is φ = 372380544000.

The previous prime is 1487912039993. The next prime is 1487912040007. The reversal of 1487912040000 is 402197841.

The square root of 1487912040000 is 1219800.

It is a perfect power (a square), and thus also a powerful number.

1487912040000 is a `hidden beast` number, since 148 + 7 + 91 + 20 + 400 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1487912039993) and next prime (1487912040007).

It can be written as a sum of positive squares in 2 ways, for example, as 116652303936 + 1371259736064 = 341544^2 + 1171008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1487912040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13905719947 + ... + 13905720053.

Almost surely, 2^{1487912040000} is an apocalyptic number.

1487912040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1487912040000 is the 1219800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1487912040000

1487912040000 is an abundant number, since it is smaller than the sum of its proper divisors (4189732459527).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1487912040000 is an equidigital number, since it uses as much as digits as its factorization.

1487912040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Multiplying 1487912040000 by its sum of digits (36), we get a square (53564833440000 = 7318800²).

1487912040000 divided by its sum of digits (36) gives a square (41330890000 = 203300²).

The spelling of 1487912040000 in words is "one trillion, four hundred eighty-seven billion, nine hundred twelve million, forty thousand".