40737340404072 has 384 divisors, whose sum is σ = 132256448956800. Its totient is φ = 11509478645760.

The previous prime is 40737340404067. The next prime is 40737340404073. The reversal of 40737340404072 is 27040404373704.

40737340404072 is a `hidden beast` number, since 4 + 0 + 73 + 73 + 40 + 404 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (40737340404073) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79990383 + ... + 80498049.

It is an arithmetic number, because the mean of its divisors is an integer number (344417835825).

Almost surely, 2^{40737340404072} 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 40737340404072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66128224478400).

40737340404072 is an abundant number, since it is smaller than the sum of its proper divisors (91519108552728).

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

40737340404072 is a wasteful number, since it uses less digits than its factorization.

40737340404072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507794 (or 507743 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 45.

Adding to 40737340404072 its reverse (27040404373704), we get a palindrome (67777744777776).

The spelling of 40737340404072 in words is "forty trillion, seven hundred thirty-seven billion, three hundred forty million, four hundred four thousand, seventy-two".