40461664320 has 1680 divisors, whose sum is σ = 192281738880. Its totient is φ = 7882997760.

The previous prime is 40461664307. The next prime is 40461664361. The reversal of 40461664320 is 2346616404.

40461664320 is a `hidden beast` number, since 4 + 0 + 4 + 6 + 1 + 6 + 643 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×40461664320² (a number of 22 digits) contains 22 as substring.

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 239 ways as a sum of consecutive naturals, for example, 417130512 + ... + 417130608.

It is an arithmetic number, because the mean of its divisors is an integer number (114453416).

Almost surely, 2^40461664320 is an apocalyptic number.

40461664320 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 40461664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96140869440).

40461664320 is an abundant number, since it is smaller than the sum of its proper divisors (151820074560).

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

40461664320 is a wasteful number, since it uses less digits than its factorization.

40461664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 40461664320 in words is "forty billion, four hundred sixty-one million, six hundred sixty-four thousand, three hundred twenty".