1487001190400 has 384 divisors, whose sum is σ = 4109717675520. Its totient is φ = 529072128000.

The previous prime is 1487001190373. The next prime is 1487001190427. The reversal of 1487001190400 is 40911007841.

It is an interprime number because it is at equal distance from previous prime (1487001190373) and next prime (1487001190427).

It is a super-2 number, since 2×1487001190400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 423524645 + ... + 423528155.

It is an arithmetic number, because the mean of its divisors is an integer number (10702389780).

Almost surely, 2^{1487001190400} is an apocalyptic number.

1487001190400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1487001190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054858837760).

1487001190400 is an abundant number, since it is smaller than the sum of its proper divisors (2622716485120).

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

1487001190400 is an equidigital number, since it uses as much as digits as its factorization.

1487001190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The spelling of 1487001190400 in words is "one trillion, four hundred eighty-seven billion, one million, one hundred ninety thousand, four hundred".