40149914112 has 840 divisors, whose sum is σ = 152281586688. Its totient is φ = 10346434560.

The previous prime is 40149914071. The next prime is 40149914149. The reversal of 40149914112 is 21141994104.

40149914112 is a `hidden beast` number, since 40 + 1 + 499 + 14 + 112 = 666.

It is a super-2 number, since 2×40149914112² (a number of 22 digits) contains 22 as substring.

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

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 83 ways as a sum of consecutive naturals, for example, 316140993 + ... + 316141119.

Almost surely, 2^40149914112 is an apocalyptic number.

40149914112 is a gapful number since it is divisible by the number (42) 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 40149914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76140793344).

40149914112 is an abundant number, since it is smaller than the sum of its proper divisors (112131672576).

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

40149914112 is an equidigital number, since it uses as much as digits as its factorization.

40149914112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 40149914112 in words is "forty billion, one hundred forty-nine million, nine hundred fourteen thousand, one hundred twelve".