4260254789700 has 1728 divisors, whose sum is σ = 17971349760000. Its totient is φ = 836240993280.

The previous prime is 4260254789683. The next prime is 4260254789717. The reversal of 4260254789700 is 79874520624.

4260254789700 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 2 + 547 + 8 + 97 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4260254789683) and next prime (4260254789717).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4498684627 + ... + 4498685573.

Almost surely, 2^{4260254789700} 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 4260254789700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8985674880000).

4260254789700 is an abundant number, since it is smaller than the sum of its proper divisors (13711094970300).

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

4260254789700 is a wasteful number, since it uses less digits than its factorization.

4260254789700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 4260254789700 in words is "four trillion, two hundred sixty billion, two hundred fifty-four million, seven hundred eighty-nine thousand, seven hundred".