40564188480 has 336 divisors, whose sum is σ = 136350938880. Its totient is φ = 10212335616.

The previous prime is 40564188419. The next prime is 40564188547. The reversal of 40564188480 is 8488146504.

It is a happy number.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37945386 + ... + 37946454.

Almost surely, 2^40564188480 is an apocalyptic number.

40564188480 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 40564188480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68175469440).

40564188480 is an abundant number, since it is smaller than the sum of its proper divisors (95786750400).

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

40564188480 is a wasteful number, since it uses less digits than its factorization.

40564188480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 48.

The spelling of 40564188480 in words is "forty billion, five hundred sixty-four million, one hundred eighty-eight thousand, four hundred eighty".