40407883776 has 672 divisors, whose sum is σ = 138151941120. Its totient is φ = 11639586816.

The previous prime is 40407883771. The next prime is 40407883793. The reversal of 40407883776 is 67738870404.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40407883771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 859742185 + ... + 859742231.

Almost surely, 2^40407883776 is an apocalyptic number.

40407883776 is a gapful number since it is divisible by the number (46) 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 40407883776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69075970560).

40407883776 is an abundant number, since it is smaller than the sum of its proper divisors (97744057344).

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

40407883776 is a wasteful number, since it uses less digits than its factorization.

40407883776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 40407883776 in words is "forty billion, four hundred seven million, eight hundred eighty-three thousand, seven hundred seventy-six".