40587059240640 has 560 divisors, whose sum is σ = 157547094591744. Its totient is φ = 9836366284800.

The previous prime is 40587059240603. The next prime is 40587059240641. The reversal of 40587059240640 is 4604295078504.

40587059240640 is a `hidden beast` number, since 4 + 0 + 5 + 8 + 7 + 0 + 592 + 4 + 0 + 6 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40587059240641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1052358637 + ... + 1052397203.

Almost surely, 2^{40587059240640} is an apocalyptic number.

40587059240640 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 40587059240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78773547295872).

40587059240640 is an abundant number, since it is smaller than the sum of its proper divisors (116960035351104).

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

40587059240640 is a wasteful number, since it uses less digits than its factorization.

40587059240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42298 (or 42279 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 40587059240640 in words is "forty trillion, five hundred eighty-seven billion, fifty-nine million, two hundred forty thousand, six hundred forty".