40920132427776 has 1120 divisors, whose sum is σ = 148780392710400. Its totient is φ = 11181711163392.

The previous prime is 40920132427711. The next prime is 40920132427841. The reversal of 40920132427776 is 67772423102904.

40920132427776 is a `hidden beast` number, since 4 + 0 + 9 + 201 + 3 + 2 + 427 + 7 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (40920132427711) and next prime (40920132427841).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5234757820 + ... + 5234765636.

Almost surely, 2^{40920132427776} is an apocalyptic number.

40920132427776 is a gapful number since it is divisible by the number (46) 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 40920132427776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74390196355200).

40920132427776 is an abundant number, since it is smaller than the sum of its proper divisors (107860260282624).

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

40920132427776 is an frugal number, since it uses more digits than its factorization.

40920132427776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7899 (or 7852 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 40920132427776 in words is "forty trillion, nine hundred twenty billion, one hundred thirty-two million, four hundred twenty-seven thousand, seven hundred seventy-six".