40003513390080 has 440 divisors, whose sum is σ = 143379623882880. Its totient is φ = 10665397370880.

The previous prime is 40003513390069. The next prime is 40003513390151. The reversal of 40003513390080 is 8009331530004.

40003513390080 is a `hidden beast` number, since 400 + 0 + 35 + 133 + 90 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3413554461 + ... + 3413566179.

It is an arithmetic number, because the mean of its divisors is an integer number (325862781552).

Almost surely, 2^{40003513390080} is an apocalyptic number.

40003513390080 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 40003513390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71689811941440).

40003513390080 is an abundant number, since it is smaller than the sum of its proper divisors (103376110492800).

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

40003513390080 is a wasteful number, since it uses less digits than its factorization.

40003513390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19987 (or 19960 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 40003513390080 in words is "forty trillion, three billion, five hundred thirteen million, three hundred ninety thousand, eighty".