40097023680 has 224 divisors, whose sum is σ = 147668138496. Its totient is φ = 9028141056.

The previous prime is 40097023669. The next prime is 40097023741. The reversal of 40097023680 is 8632079004.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405712 + ... + 494768.

Almost surely, 2^40097023680 is an apocalyptic number.

40097023680 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 40097023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73834069248).

40097023680 is an abundant number, since it is smaller than the sum of its proper divisors (107571114816).

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

40097023680 is a wasteful number, since it uses less digits than its factorization.

40097023680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89151 (or 89141 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 40097023680 in words is "forty billion, ninety-seven million, twenty-three thousand, six hundred eighty".