40709745695520 has 576 divisors, whose sum is σ = 155321202516480. Its totient is φ = 9623760076800.

The previous prime is 40709745695477. The next prime is 40709745695533. The reversal of 40709745695520 is 2559654790704.

40709745695520 is a `hidden beast` number, since 4 + 0 + 7 + 0 + 9 + 7 + 45 + 69 + 5 + 520 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1485255576 + ... + 1485282984.

It is an arithmetic number, because the mean of its divisors is an integer number (269654865480).

Almost surely, 2^{40709745695520} is an apocalyptic number.

40709745695520 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 40709745695520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77660601258240).

40709745695520 is an abundant number, since it is smaller than the sum of its proper divisors (114611456820960).

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

40709745695520 is a wasteful number, since it uses less digits than its factorization.

40709745695520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29769 (or 29758 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 40709745695520 in words is "forty trillion, seven hundred nine billion, seven hundred forty-five million, six hundred ninety-five thousand, five hundred twenty".