40177780608 has 256 divisors, whose sum is σ = 129675456000. Its totient is φ = 10766131200.

The previous prime is 40177780571. The next prime is 40177780663. The reversal of 40177780608 is 80608777104.

It is a super-2 number, since 2×40177780608² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5154378 + ... + 5162166.

It is an arithmetic number, because the mean of its divisors is an integer number (506544750).

Almost surely, 2^40177780608 is an apocalyptic number.

40177780608 is a gapful number since it is divisible by the number (48) 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 40177780608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64837728000).

40177780608 is an abundant number, since it is smaller than the sum of its proper divisors (89497675392).

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

40177780608 is a wasteful number, since it uses less digits than its factorization.

40177780608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7933 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The spelling of 40177780608 in words is "forty billion, one hundred seventy-seven million, seven hundred eighty thousand, six hundred eight".