40224035880 has 768 divisors, whose sum is σ = 165784320000. Its totient is φ = 8250439680.

The previous prime is 40224035809. The next prime is 40224035911. The reversal of 40224035880 is 8853042204.

40224035880 is a `hidden beast` number, since 4 + 0 + 224 + 0 + 358 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81922435 + ... + 81922925.

It is an arithmetic number, because the mean of its divisors is an integer number (215865000).

Almost surely, 2^40224035880 is an apocalyptic number.

40224035880 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 40224035880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82892160000).

40224035880 is an abundant number, since it is smaller than the sum of its proper divisors (125560284120).

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

40224035880 is a wasteful number, since it uses less digits than its factorization.

40224035880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 40224035880 in words is "forty billion, two hundred twenty-four million, thirty-five thousand, eight hundred eighty".