40093701120 has 528 divisors, whose sum is σ = 153539934912. Its totient is φ = 9592504320.

The previous prime is 40093701113. The next prime is 40093701133. The reversal of 40093701120 is 2110739004.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42070564 + ... + 42071516.

Almost surely, 2^40093701120 is an apocalyptic number.

40093701120 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 40093701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769967456).

40093701120 is an abundant number, since it is smaller than the sum of its proper divisors (113446233792).

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

40093701120 is a wasteful number, since it uses less digits than its factorization.

40093701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 40093701120 in words is "forty billion, ninety-three million, seven hundred one thousand, one hundred twenty".