40151791680 has 1344 divisors, whose sum is σ = 179328909312. Its totient is φ = 7478231040.

The previous prime is 40151791661. The next prime is 40151791699. The reversal of 40151791680 is 8619715104.

It is an interprime number because it is at equal distance from previous prime (40151791661) and next prime (40151791699).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×40151791680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 316155777 + ... + 316155903.

It is an arithmetic number, because the mean of its divisors is an integer number (133429248).

Almost surely, 2^40151791680 is an apocalyptic number.

40151791680 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 40151791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89664454656).

40151791680 is an abundant number, since it is smaller than the sum of its proper divisors (139177117632).

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

40151791680 is a wasteful number, since it uses less digits than its factorization.

40151791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 40151791680 in words is "forty billion, one hundred fifty-one million, seven hundred ninety-one thousand, six hundred eighty".