40770637660000 has 960 divisors, whose sum is σ = 110800180592640. Its totient is φ = 14715613440000.

The previous prime is 40770637659953. The next prime is 40770637660043. The reversal of 40770637660000 is 6673607704.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 132803379847 + ... + 132803380153.

It is an arithmetic number, because the mean of its divisors is an integer number (115416854784).

Almost surely, 2^{40770637660000} is an apocalyptic number.

40770637660000 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 40770637660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55400090296320).

40770637660000 is an abundant number, since it is smaller than the sum of its proper divisors (70029542932640).

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

40770637660000 is a wasteful number, since it uses less digits than its factorization.

40770637660000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 46.

The spelling of 40770637660000 in words is "forty trillion, seven hundred seventy billion, six hundred thirty-seven million, six hundred sixty thousand".