40451112000 has 672 divisors, whose sum is σ = 162692974080. Its totient is φ = 9519206400.

The previous prime is 40451111923. The next prime is 40451112101. The reversal of 40451112000 is 21115404.

40451112000 is a `hidden beast` number, since 4 + 0 + 451 + 11 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21527061 + ... + 21528939.

It is an arithmetic number, because the mean of its divisors is an integer number (242102640).

Almost surely, 2^40451112000 is an apocalyptic number.

40451112000 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 40451112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81346487040).

40451112000 is an abundant number, since it is smaller than the sum of its proper divisors (122241862080).

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

40451112000 is a wasteful number, since it uses less digits than its factorization.

40451112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 40451112000 its reverse (21115404), we get a palindrome (40472227404).

The spelling of 40451112000 in words is "forty billion, four hundred fifty-one million, one hundred twelve thousand".