40376146752 has 168 divisors, whose sum is σ = 124369592256. Its totient is φ = 12477763584.

The previous prime is 40376146703. The next prime is 40376146763. The reversal of 40376146752 is 25764167304.

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 junction number, because it is equal to n+sod(n) for n = 40376146698 and 40376146707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 625293 + ... + 686835.

It is an arithmetic number, because the mean of its divisors is an integer number (740295192).

Almost surely, 2^40376146752 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 40376146752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62184796128).

40376146752 is an abundant number, since it is smaller than the sum of its proper divisors (83993445504).

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

40376146752 is a wasteful number, since it uses less digits than its factorization.

40376146752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61645 (or 61632 counting only the distinct ones).

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

The spelling of 40376146752 in words is "forty billion, three hundred seventy-six million, one hundred forty-six thousand, seven hundred fifty-two".