40077057861120 has 640 divisors, whose sum is σ = 150726168907776. Its totient is φ = 8894913970176.

The previous prime is 40077057861047. The next prime is 40077057861167. The reversal of 40077057861120 is 2116875077004.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40077057861120.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 276307657 + ... + 276452663.

Almost surely, 2^{40077057861120} is an apocalyptic number.

40077057861120 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 40077057861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75363084453888).

40077057861120 is an abundant number, since it is smaller than the sum of its proper divisors (110649111046656).

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

40077057861120 is a wasteful number, since it uses less digits than its factorization.

40077057861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145190 (or 145174 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 48.

The spelling of 40077057861120 in words is "forty trillion, seventy-seven billion, fifty-seven million, eight hundred sixty-one thousand, one hundred twenty".