1538464838400 has 2592 divisors, whose sum is σ = 7055910892800. Its totient is φ = 326069452800.

The previous prime is 1538464838371. The next prime is 1538464838437. The reversal of 1538464838400 is 48384648351.

It is a happy number.

1538464838400 is a `hidden beast` number, since 1 + 5 + 3 + 84 + 6 + 483 + 84 + 0 + 0 = 666.

It is a super-2 number, since 2×1538464838400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11744006335 + ... + 11744006465.

Almost surely, 2^{1538464838400} is an apocalyptic number.

1538464838400 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 1538464838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3527955446400).

1538464838400 is an abundant number, since it is smaller than the sum of its proper divisors (5517446054400).

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

1538464838400 is a wasteful number, since it uses less digits than its factorization.

1538464838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 1538464838400 in words is "one trillion, five hundred thirty-eight billion, four hundred sixty-four million, eight hundred thirty-eight thousand, four hundred".