40234077792 has 144 divisors (see below), whose sum is σ = 116194085280. Its totient is φ = 13203456000.

The previous prime is 40234077757. The next prime is 40234077841. The reversal of 40234077792 is 29777043204.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25129792 + ... + 25131392.

It is an arithmetic number, because the mean of its divisors is an integer number (806903370).

Almost surely, 2^40234077792 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 40234077792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58097042640).

40234077792 is an abundant number, since it is smaller than the sum of its proper divisors (75960007488).

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

40234077792 is a wasteful number, since it uses less digits than its factorization.

40234077792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2917 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 40234077792 in words is "forty billion, two hundred thirty-four million, seventy-seven thousand, seven hundred ninety-two".