4026755640600 has 3840 divisors, whose sum is σ = 19600745472000. Its totient is φ = 740673331200.

The previous prime is 4026755640547. The next prime is 4026755640631. The reversal of 4026755640600 is 60465576204.

4026755640600 is a `hidden beast` number, since 4 + 0 + 26 + 7 + 5 + 564 + 0 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 45244445356 + ... + 45244445444.

It is an arithmetic number, because the mean of its divisors is an integer number (5104360800).

Almost surely, 2^{4026755640600} is an apocalyptic number.

4026755640600 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 4026755640600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9800372736000).

4026755640600 is an abundant number, since it is smaller than the sum of its proper divisors (15573989831400).

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

4026755640600 is a wasteful number, since it uses less digits than its factorization.

4026755640600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 4026755640600 in words is "four trillion, twenty-six billion, seven hundred fifty-five million, six hundred forty thousand, six hundred".