1488787970400 has 1080 divisors, whose sum is σ = 5917837109184. Its totient is φ = 363804825600.

The previous prime is 1488787970359. The next prime is 1488787970519. The reversal of 1488787970400 is 40797878841.

1488787970400 is a `hidden beast` number, since 1 + 4 + 8 + 87 + 87 + 9 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 725175774 + ... + 725177826.

Almost surely, 2^{1488787970400} is an apocalyptic number.

1488787970400 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 1488787970400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958918554592).

1488787970400 is an abundant number, since it is smaller than the sum of its proper divisors (4429049138784).

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

1488787970400 is a wasteful number, since it uses less digits than its factorization.

1488787970400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 1488787970400 in words is "one trillion, four hundred eighty-eight billion, seven hundred eighty-seven million, nine hundred seventy thousand, four hundred".