40064400090 has 256 divisors, whose sum is σ = 128582899200. Its totient is φ = 8746444800.

The previous prime is 40064400067. The next prime is 40064400113. The reversal of 40064400090 is 9000446004.

It is an interprime number because it is at equal distance from previous prime (40064400067) and next prime (40064400113).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1570356 + ... + 1595664.

It is an arithmetic number, because the mean of its divisors is an integer number (502276950).

Almost surely, 2^40064400090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40064400090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64291449600).

40064400090 is an abundant number, since it is smaller than the sum of its proper divisors (88518499110).

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

40064400090 is a wasteful number, since it uses less digits than its factorization.

40064400090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25390 (or 25384 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 40064400090 its reverse (9000446004), we get a palindrome (49064846094).

The spelling of 40064400090 in words is "forty billion, sixty-four million, four hundred thousand, ninety".