40426271205120 has 864 divisors, whose sum is σ = 153754180070400. Its totient is φ = 9761253359616.

The previous prime is 40426271205113. The next prime is 40426271205149. The reversal of 40426271205120 is 2150217262404.

40426271205120 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 627 + 1 + 2 + 0 + 5 + 1 + 20 = 666.

It is a super-2 number, since 2×40426271205120² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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, 8945842221 + ... + 8945846739.

Almost surely, 2^{40426271205120} is an apocalyptic number.

40426271205120 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 40426271205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76877090035200).

40426271205120 is an abundant number, since it is smaller than the sum of its proper divisors (113327908865280).

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

40426271205120 is a wasteful number, since it uses less digits than its factorization.

40426271205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6365 (or 6348 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 40426271205120 its reverse (2150217262404), we get a palindrome (42576488467524).

The spelling of 40426271205120 in words is "forty trillion, four hundred twenty-six billion, two hundred seventy-one million, two hundred five thousand, one hundred twenty".