10398640428792 has 1024 divisors, whose sum is σ = 38862028800000. Its totient is φ = 2549812608000.

The previous prime is 10398640428691. The next prime is 10398640428797. The reversal of 10398640428792 is 29782404689301.

10398640428792 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 86 + 40 + 428 + 7 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10398640428797) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1035819309 + ... + 1035829347.

It is an arithmetic number, because the mean of its divisors is an integer number (37951200000).

Almost surely, 2^{10398640428792} is an apocalyptic number.

10398640428792 is a gapful number since it is divisible by the number (12) 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 10398640428792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19431014400000).

10398640428792 is an abundant number, since it is smaller than the sum of its proper divisors (28463388371208).

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

10398640428792 is a wasteful number, since it uses less digits than its factorization.

10398640428792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10158 (or 10134 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 10398640428792 in words is "ten trillion, three hundred ninety-eight billion, six hundred forty million, four hundred twenty-eight thousand, seven hundred ninety-two".