40157678880 has 192 divisors, whose sum is σ = 153329500800. Its totient is φ = 9735183360.

The previous prime is 40157678867. The next prime is 40157678917. The reversal of 40157678880 is 8887675104.

It is a happy number.

It is a super-2 number, since 2×40157678880² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375015 + ... + 470054.

It is an arithmetic number, because the mean of its divisors is an integer number (798591150).

Almost surely, 2^40157678880 is an apocalyptic number.

40157678880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40157678880 is an abundant number, since it is smaller than the sum of its proper divisors (113171821920).

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

40157678880 is a wasteful number, since it uses less digits than its factorization.

40157678880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845104 (or 845090 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 40157678880 in words is "forty billion, one hundred fifty-seven million, six hundred seventy-eight thousand, eight hundred eighty".