40870199687040 has 256 divisors, whose sum is σ = 144757433448000. Its totient is φ = 10898056617984.

The previous prime is 40870199687027. The next prime is 40870199687063. The reversal of 40870199687040 is 4078699107804.

40870199687040 is a `hidden beast` number, since 408 + 70 + 1 + 9 + 96 + 8 + 70 + 4 + 0 = 666.

It is a super-3 number, since 3×40870199687040³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 326823246 + ... + 326948274.

Almost surely, 2^{40870199687040} is an apocalyptic number.

40870199687040 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 40870199687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72378716724000).

40870199687040 is an abundant number, since it is smaller than the sum of its proper divisors (103887233760960).

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

40870199687040 is a wasteful number, since it uses less digits than its factorization.

40870199687040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143974 (or 143956 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 40870199687040 in words is "forty trillion, eight hundred seventy billion, one hundred ninety-nine million, six hundred eighty-seven thousand, forty".