40077717120 has 576 divisors, whose sum is σ = 165427516800. Its totient is φ = 8757669888.

The previous prime is 40077717103. The next prime is 40077717133. The reversal of 40077717120 is 2171777004.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21328341 + ... + 21330219.

It is an arithmetic number, because the mean of its divisors is an integer number (287200550).

Almost surely, 2^40077717120 is an apocalyptic number.

40077717120 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 40077717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82713758400).

40077717120 is an abundant number, since it is smaller than the sum of its proper divisors (125349799680).

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

40077717120 is a wasteful number, since it uses less digits than its factorization.

40077717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

The spelling of 40077717120 in words is "forty billion, seventy-seven million, seven hundred seventeen thousand, one hundred twenty".