40607792280 has 384 divisors, whose sum is σ = 147713829120. Its totient is φ = 9591229440.

The previous prime is 40607792243. The next prime is 40607792287. The reversal of 40607792280 is 8229770604.

40607792280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40607792287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34209847 + ... + 34211033.

It is an arithmetic number, because the mean of its divisors is an integer number (384671430).

Almost surely, 2^40607792280 is an apocalyptic number.

40607792280 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 40607792280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73856914560).

40607792280 is an abundant number, since it is smaller than the sum of its proper divisors (107106036840).

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

40607792280 is a wasteful number, since it uses less digits than its factorization.

40607792280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 40607792280 in words is "forty billion, six hundred seven million, seven hundred ninety-two thousand, two hundred eighty".