16373201725440 has 1536 divisors, whose sum is σ = 67972649472000. Its totient is φ = 3661214515200.

The previous prime is 16373201725423. The next prime is 16373201725451. The reversal of 16373201725440 is 4452710237361.

It is a happy number.

16373201725440 is a `hidden beast` number, since 1 + 6 + 3 + 7 + 32 + 0 + 1 + 72 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39076853551 + ... + 39076853969.

It is an arithmetic number, because the mean of its divisors is an integer number (44253027000).

Almost surely, 2^{16373201725440} is an apocalyptic number.

16373201725440 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 16373201725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33986324736000).

16373201725440 is an abundant number, since it is smaller than the sum of its proper divisors (51599447746560).

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

16373201725440 is a wasteful number, since it uses less digits than its factorization.

16373201725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 854 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 16373201725440 in words is "sixteen trillion, three hundred seventy-three billion, two hundred one million, seven hundred twenty-five thousand, four hundred forty".