40451222215404 has 288 divisors, whose sum is σ = 140999514679296. Its totient is φ = 9436470243840.

The previous prime is 40451222215399. The next prime is 40451222215447.

40451222215404 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 1 + 22 + 221 + 5 + 404 = 666.

40451222215404 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×40451222215404³ (a number of 42 digits) contains 333 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13835892 + ... + 16502555.

It is an arithmetic number, because the mean of its divisors is an integer number (489581648192).

Almost surely, 2^{40451222215404} is an apocalyptic number.

40451222215404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40451222215404 is an abundant number, since it is smaller than the sum of its proper divisors (100548292463892).

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

40451222215404 is a wasteful number, since it uses less digits than its factorization.

40451222215404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30338525 (or 30338520 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 40451222215404 in words is "forty trillion, four hundred fifty-one billion, two hundred twenty-two million, two hundred fifteen thousand, four hundred four".