40142624760 has 480 divisors, whose sum is σ = 162382968000. Its totient is φ = 8858045952.

The previous prime is 40142624741. The next prime is 40142624777. The reversal of 40142624760 is 6742624104.

40142624760 is a `hidden beast` number, since 40 + 142 + 6 + 2 + 476 + 0 = 666.

It is a super-2 number, since 2×40142624760² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4599681 + ... + 4608399.

It is an arithmetic number, because the mean of its divisors is an integer number (338297850).

Almost surely, 2^40142624760 is an apocalyptic number.

40142624760 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 40142624760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81191484000).

40142624760 is an abundant number, since it is smaller than the sum of its proper divisors (122240343240).

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

40142624760 is a wasteful number, since it uses less digits than its factorization.

40142624760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8785 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40142624760 in words is "forty billion, one hundred forty-two million, six hundred twenty-four thousand, seven hundred sixty".