40006896384 has 288 divisors, whose sum is σ = 131717845504. Its totient is φ = 10497392640.

The previous prime is 40006896373. The next prime is 40006896487. The reversal of 40006896384 is 48369860004.

It is a super-2 number, since 2×40006896384² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14745012 + ... + 14747724.

Almost surely, 2^40006896384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40006896384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65858922752).

40006896384 is an abundant number, since it is smaller than the sum of its proper divisors (91710949120).

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

40006896384 is a wasteful number, since it uses less digits than its factorization.

40006896384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2963 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 40006896384 in words is "forty billion, six million, eight hundred ninety-six thousand, three hundred eighty-four".