40977100080 has 240 divisors, whose sum is σ = 159940834560. Its totient is φ = 9207378432.

The previous prime is 40977100061. The next prime is 40977100093. The reversal of 40977100080 is 8000177904.

40977100080 is a `hidden beast` number, since 409 + 77 + 100 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 228459 + ... + 366261.

It is an arithmetic number, because the mean of its divisors is an integer number (666420144).

Almost surely, 2^40977100080 is an apocalyptic number.

40977100080 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 40977100080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79970417280).

40977100080 is an abundant number, since it is smaller than the sum of its proper divisors (118963734480).

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

40977100080 is a wasteful number, since it uses less digits than its factorization.

40977100080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137888 (or 137879 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

Adding to 40977100080 its reverse (8000177904), we get a palindrome (48977277984).

The spelling of 40977100080 in words is "forty billion, nine hundred seventy-seven million, one hundred thousand, eighty".