40386245936960 has 896 divisors, whose sum is σ = 126678430310400. Its totient is φ = 11895899258880.

The previous prime is 40386245936929. The next prime is 40386245936963. The reversal of 40386245936960 is 6963954268304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40386245936963) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19806887621 + ... + 19806889659.

Almost surely, 2^{40386245936960} is an apocalyptic number.

40386245936960 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 40386245936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63339215155200).

40386245936960 is an abundant number, since it is smaller than the sum of its proper divisors (86292184373440).

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

40386245936960 is a wasteful number, since it uses less digits than its factorization.

40386245936960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 65.

The spelling of 40386245936960 in words is "forty trillion, three hundred eighty-six billion, two hundred forty-five million, nine hundred thirty-six thousand, nine hundred sixty".