39972146150688 has 192 divisors, whose sum is σ = 109852572211200. Its totient is φ = 12702436116480.

The previous prime is 39972146150593. The next prime is 39972146150701. The reversal of 39972146150688 is 88605164127993.

It is a super-2 number, since 2×39972146150688² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3419631948 + ... + 3419643636.

It is an arithmetic number, because the mean of its divisors is an integer number (572148813600).

It is a 1-persistent number, because it is pandigital, but 2⋅39972146150688 = 79944292301376 is not.

Almost surely, 2^{39972146150688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39972146150688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54926286105600).

39972146150688 is an abundant number, since it is smaller than the sum of its proper divisors (69880426060512).

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

39972146150688 is a wasteful number, since it uses less digits than its factorization.

39972146150688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16735 (or 16727 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 69.

The spelling of 39972146150688 in words is "thirty-nine trillion, nine hundred seventy-two billion, one hundred forty-six million, one hundred fifty thousand, six hundred eighty-eight".