40151319840 has 384 divisors, whose sum is σ = 149974675200. Its totient is φ = 10003046400.

The previous prime is 40151319829. The next prime is 40151319851. The reversal of 40151319840 is 4891315104.

It is an interprime number because it is at equal distance from previous prime (40151319829) and next prime (40151319851).

It is a super-2 number, since 2×40151319840² (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 junction number, because it is equal to n+sod(n) for n = 40151319795 and 40151319804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5988490 + ... + 5995190.

It is an arithmetic number, because the mean of its divisors is an integer number (390559050).

Almost surely, 2^40151319840 is an apocalyptic number.

40151319840 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 40151319840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74987337600).

40151319840 is an abundant number, since it is smaller than the sum of its proper divisors (109823355360).

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

40151319840 is a wasteful number, since it uses less digits than its factorization.

40151319840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6817 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 40151319840 in words is "forty billion, one hundred fifty-one million, three hundred nineteen thousand, eight hundred forty".