40451092416 has 896 divisors, whose sum is σ = 151219814400. Its totient is φ = 10346434560.

The previous prime is 40451092399. The next prime is 40451092417. The reversal of 40451092416 is 61429015404.

40451092416 is a `hidden beast` number, since 40 + 4 + 510 + 92 + 4 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40451092417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 569733661 + ... + 569733731.

Almost surely, 2^40451092416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40451092416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75609907200).

40451092416 is an abundant number, since it is smaller than the sum of its proper divisors (110768721984).

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

40451092416 is a wasteful number, since it uses less digits than its factorization.

40451092416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 40451092416 in words is "forty billion, four hundred fifty-one million, ninety-two thousand, four hundred sixteen".