40151180160 has 1152 divisors, whose sum is σ = 179800508160. Its totient is φ = 8174960640.

The previous prime is 40151180141. The next prime is 40151180189. The reversal of 40151180160 is 6108115104.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×40151180160² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 113742544 + ... + 113742896.

It is an arithmetic number, because the mean of its divisors is an integer number (156076830).

Almost surely, 2^40151180160 is an apocalyptic number.

40151180160 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 40151180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89900254080).

40151180160 is an abundant number, since it is smaller than the sum of its proper divisors (139649328000).

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

40151180160 is a wasteful number, since it uses less digits than its factorization.

40151180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 40151180160 its reverse (6108115104), we get a palindrome (46259295264).

It can be divided in two parts, 401511 and 80160, that added together give a triangular number (481671 = T₉₈₁).

The spelling of 40151180160 in words is "forty billion, one hundred fifty-one million, one hundred eighty thousand, one hundred sixty".