10025441280000 has 2100 divisors, whose sum is σ = 40278229215840. Its totient is φ = 2484338688000.

The previous prime is 10025441279999. The next prime is 10025441280053. The reversal of 10025441280000 is 8214452001.

10025441280000 is a `hidden beast` number, since 100 + 2 + 544 + 12 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 126904319961 + ... + 126904320039.

Almost surely, 2^{10025441280000} is an apocalyptic number.

10025441280000 is a gapful number since it is divisible by the number (10) 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 10025441280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20139114607920).

10025441280000 is an abundant number, since it is smaller than the sum of its proper divisors (30252787935840).

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

10025441280000 is an frugal number, since it uses more digits than its factorization.

10025441280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10025441280000 in words is "ten trillion, twenty-five billion, four hundred forty-one million, two hundred eighty thousand".