4000026260400 has 240 divisors, whose sum is σ = 12977711301888. Its totient is φ = 1053057920000.

The previous prime is 4000026260357. The next prime is 4000026260431. The reversal of 4000026260400 is 40626200004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42008845 + ... + 42103955.

Almost surely, 2^{4000026260400} is an apocalyptic number.

4000026260400 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 4000026260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6488855650944).

4000026260400 is an abundant number, since it is smaller than the sum of its proper divisors (8977685041488).

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

4000026260400 is a wasteful number, since it uses less digits than its factorization.

4000026260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95580 (or 95569 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 4000026260400 in words is "four trillion, twenty-six million, two hundred sixty thousand, four hundred".