1516440038400 has 3168 divisors, whose sum is σ = 7184510161920. Its totient is φ = 297271296000.

The previous prime is 1516440038371. The next prime is 1516440038423. The reversal of 1516440038400 is 48300446151.

1516440038400 is a `hidden beast` number, since 1 + 5 + 1 + 644 + 0 + 0 + 3 + 8 + 4 + 0 + 0 = 666.

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

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, 21358310365 + ... + 21358310435.

Almost surely, 2^{1516440038400} is an apocalyptic number.

1516440038400 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 1516440038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3592255080960).

1516440038400 is an abundant number, since it is smaller than the sum of its proper divisors (5668070123520).

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

1516440038400 is a wasteful number, since it uses less digits than its factorization.

1516440038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1516440038400 in words is "one trillion, five hundred sixteen billion, four hundred forty million, thirty-eight thousand, four hundred".