40487248732320 has 1152 divisors, whose sum is σ = 155607424697088. Its totient is φ = 9520422912000.

The previous prime is 40487248732303. The next prime is 40487248732321. The reversal of 40487248732320 is 2323784278404.

40487248732320 is a `hidden beast` number, since 4 + 0 + 4 + 8 + 7 + 248 + 73 + 2 + 320 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40487248732321) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38522595795 + ... + 38522596845.

It is an arithmetic number, because the mean of its divisors is an integer number (135075889494).

Almost surely, 2^{40487248732320} is an apocalyptic number.

40487248732320 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 40487248732320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77803712348544).

40487248732320 is an abundant number, since it is smaller than the sum of its proper divisors (115120175964768).

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

40487248732320 is a wasteful number, since it uses less digits than its factorization.

40487248732320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 40487248732320 in words is "forty trillion, four hundred eighty-seven billion, two hundred forty-eight million, seven hundred thirty-two thousand, three hundred twenty".