38352456253440 has 2240 divisors, whose sum is σ = 163717017868800. Its totient is φ = 8439107420160.

The previous prime is 38352456253421. The next prime is 38352456253457. The reversal of 38352456253440 is 4435265425383.

38352456253440 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 2 + 4 + 5 + 62 + 534 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 628728791010 + ... + 628728791070.

Almost surely, 2^{38352456253440} is an apocalyptic number.

38352456253440 is a gapful number since it is divisible by the number (30) 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 38352456253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81858508934400).

38352456253440 is an abundant number, since it is smaller than the sum of its proper divisors (125364561615360).

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

38352456253440 is an frugal number, since it uses more digits than its factorization.

38352456253440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 54.

The spelling of 38352456253440 in words is "thirty-eight trillion, three hundred fifty-two billion, four hundred fifty-six million, two hundred fifty-three thousand, four hundred forty".