40726572480 has 336 divisors, whose sum is σ = 153103807584. Its totient is φ = 9854607360.

The previous prime is 40726572437. The next prime is 40726572539. The reversal of 40726572480 is 8427562704.

It is a happy number.

40726572480 is a `hidden beast` number, since 4 + 0 + 72 + 6 + 572 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25248154 + ... + 25249766.

It is an arithmetic number, because the mean of its divisors is an integer number (455666094).

Almost surely, 2^40726572480 is an apocalyptic number.

40726572480 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 40726572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76551903792).

40726572480 is an abundant number, since it is smaller than the sum of its proper divisors (112377235104).

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

40726572480 is a wasteful number, since it uses less digits than its factorization.

40726572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 40726572480 in words is "forty billion, seven hundred twenty-six million, five hundred seventy-two thousand, four hundred eighty".