40337733672 has 112 divisors (see below), whose sum is σ = 113600823840. Its totient is φ = 13421865888.

The previous prime is 40337733649. The next prime is 40337733677. The reversal of 40337733672 is 27633773304.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40337733677) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3417493 + ... + 3429275.

It is an arithmetic number, because the mean of its divisors is an integer number (1014293070).

Almost surely, 2^40337733672 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 40337733672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56800411920).

40337733672 is an abundant number, since it is smaller than the sum of its proper divisors (73263090168).

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

40337733672 is a wasteful number, since it uses less digits than its factorization.

40337733672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12394 (or 12375 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 45.

The spelling of 40337733672 in words is "forty billion, three hundred thirty-seven million, seven hundred thirty-three thousand, six hundred seventy-two".