40102004736 has 144 divisors (see below), whose sum is σ = 119559847680. Its totient is φ = 12935946240.

The previous prime is 40102004711. The next prime is 40102004743. The reversal of 40102004736 is 63740020104.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536301 + ... + 606483.

It is an arithmetic number, because the mean of its divisors is an integer number (830276720).

Almost surely, 2^40102004736 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 40102004736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59779923840).

40102004736 is an abundant number, since it is smaller than the sum of its proper divisors (79457842944).

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

40102004736 is a wasteful number, since it uses less digits than its factorization.

40102004736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70242 (or 70219 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 40102004736 in words is "forty billion, one hundred two million, four thousand, seven hundred thirty-six".