40177406160 has 560 divisors, whose sum is σ = 147077157888. Its totient is φ = 10189670400.

The previous prime is 40177406149. The next prime is 40177406173. The reversal of 40177406160 is 6160477104.

It is a super-2 number, since 2×40177406160² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 128362164 + ... + 128362476.

Almost surely, 2^40177406160 is an apocalyptic number.

40177406160 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 40177406160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73538578944).

40177406160 is an abundant number, since it is smaller than the sum of its proper divisors (106899751728).

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

40177406160 is a wasteful number, since it uses less digits than its factorization.

40177406160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 40177406160 in words is "forty billion, one hundred seventy-seven million, four hundred six thousand, one hundred sixty".