40257766500 has 192 divisors, whose sum is σ = 136507617792. Its totient is φ = 9028032000.

The previous prime is 40257766459. The next prime is 40257766519. The reversal of 40257766500 is 566775204.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 520330 + ... + 592670.

It is an arithmetic number, because the mean of its divisors is an integer number (710977176).

Almost surely, 2^40257766500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40257766500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68253808896).

40257766500 is an abundant number, since it is smaller than the sum of its proper divisors (96249851292).

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

40257766500 is a wasteful number, since it uses less digits than its factorization.

40257766500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72423 (or 72411 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 40257766500 in words is "forty billion, two hundred fifty-seven million, seven hundred sixty-six thousand, five hundred".