40738087296 has 128 divisors (see below), whose sum is σ = 120335846400. Its totient is φ = 13567855104.

The previous prime is 40738087277. The next prime is 40738087339. The reversal of 40738087296 is 69278083704.

40738087296 is a `hidden beast` number, since 407 + 3 + 80 + 8 + 72 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4720041 + ... + 4728663.

It is an arithmetic number, because the mean of its divisors is an integer number (940123800).

Almost surely, 2^40738087296 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 40738087296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60167923200).

40738087296 is an abundant number, since it is smaller than the sum of its proper divisors (79597759104).

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

40738087296 is a wasteful number, since it uses less digits than its factorization.

40738087296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10013 (or 9995 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 40738087296 in words is "forty billion, seven hundred thirty-eight million, eighty-seven thousand, two hundred ninety-six".