40730157706000 has 320 divisors, whose sum is σ = 117721475629056. Its totient is φ = 13326430656000.

The previous prime is 40730157705989. The next prime is 40730157706057. The reversal of 40730157706000 is 60775103704.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138635259 + ... + 138928741.

Almost surely, 2^{40730157706000} is an apocalyptic number.

40730157706000 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 40730157706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58860737814528).

40730157706000 is an abundant number, since it is smaller than the sum of its proper divisors (76991317923056).

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

40730157706000 is a wasteful number, since it uses less digits than its factorization.

40730157706000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293967 (or 293951 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The spelling of 40730157706000 in words is "forty trillion, seven hundred thirty billion, one hundred fifty-seven million, seven hundred six thousand".