40877996544 has 960 divisors, whose sum is σ = 162151621632. Its totient is φ = 9953280000.

The previous prime is 40877996543. The next prime is 40877996573. The reversal of 40877996544 is 44569977804.

40877996544 is a `hidden beast` number, since 4 + 0 + 87 + 7 + 9 + 9 + 6 + 544 = 666.

It is a super-3 number, since 3×40877996544³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40877996543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162860419 + ... + 162860669.

Almost surely, 2^40877996544 is an apocalyptic number.

40877996544 is a gapful number since it is divisible by the number (44) 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 40877996544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81075810816).

40877996544 is an abundant number, since it is smaller than the sum of its proper divisors (121273625088).

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

40877996544 is a wasteful number, since it uses less digits than its factorization.

40877996544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 40877996544 in words is "forty billion, eight hundred seventy-seven million, nine hundred ninety-six thousand, five hundred forty-four".