40961376000 has 360 divisors, whose sum is σ = 152439631344. Its totient is φ = 10922342400.

The previous prime is 40961375999. The next prime is 40961376011. The reversal of 40961376000 is 67316904.

40961376000 is a `hidden beast` number, since 40 + 9 + 6 + 1 + 3 + 7 + 600 + 0 = 666.

40961376000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2584099 + ... + 2599901.

Almost surely, 2^40961376000 is an apocalyptic number.

40961376000 is a gapful number since it is divisible by the number (40) 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 40961376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76219815672).

40961376000 is an abundant number, since it is smaller than the sum of its proper divisors (111478255344).

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

40961376000 is an equidigital number, since it uses as much as digits as its factorization.

40961376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15846 (or 15813 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 40961376000 in words is "forty billion, nine hundred sixty-one million, three hundred seventy-six thousand".