40026896000 has 512 divisors, whose sum is σ = 125961937920. Its totient is φ = 12308889600.

The previous prime is 40026895999. The next prime is 40026896011. The reversal of 40026896000 is 69862004.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53871629 + ... + 53872371.

It is an arithmetic number, because the mean of its divisors is an integer number (246019410).

Almost surely, 2^40026896000 is an apocalyptic number.

40026896000 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 40026896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62980968960).

40026896000 is an abundant number, since it is smaller than the sum of its proper divisors (85935041920).

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

40026896000 is a wasteful number, since it uses less digits than its factorization.

40026896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 40026896000 in words is "forty billion, twenty-six million, eight hundred ninety-six thousand".