40477729320 has 256 divisors, whose sum is σ = 154478016000. Its totient is φ = 9235427328.

The previous prime is 40477729319. The next prime is 40477729343. The reversal of 40477729320 is 2392777404.

40477729320 is a `hidden beast` number, since 4 + 0 + 477 + 72 + 93 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 4478566 + ... + 4487594.

It is an arithmetic number, because the mean of its divisors is an integer number (603429750).

Almost surely, 2^40477729320 is an apocalyptic number.

40477729320 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 40477729320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77239008000).

40477729320 is an abundant number, since it is smaller than the sum of its proper divisors (114000286680).

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

40477729320 is a wasteful number, since it uses less digits than its factorization.

40477729320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9649 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 40477729320 in words is "forty billion, four hundred seventy-seven million, seven hundred twenty-nine thousand, three hundred twenty".