40479125760 has 288 divisors, whose sum is σ = 144757388160. Its totient is φ = 10710835200.

The previous prime is 40479125759. The next prime is 40479125761. The reversal of 40479125760 is 6752197404.

40479125760 is a `hidden beast` number, since 4 + 0 + 4 + 79 + 1 + 2 + 576 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (40479125759) and next prime (40479125761).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (40479125761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4522890 + ... + 4531830.

It is an arithmetic number, because the mean of its divisors is an integer number (502629820).

Almost surely, 2^40479125760 is an apocalyptic number.

40479125760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40479125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72378694080).

40479125760 is an abundant number, since it is smaller than the sum of its proper divisors (104278262400).

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

40479125760 is a wasteful number, since it uses less digits than its factorization.

40479125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9102 (or 9082 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 40479125760 in words is "forty billion, four hundred seventy-nine million, one hundred twenty-five thousand, seven hundred sixty".