10298961400 has 576 divisors, whose sum is σ = 32676480000. Its totient is φ = 2943682560.

The previous prime is 10298961377. The next prime is 10298961443. The reversal of 10298961400 is 416989201.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 130366561 + ... + 130366639.

It is an arithmetic number, because the mean of its divisors is an integer number (56730000).

Almost surely, 2^10298961400 is an apocalyptic number.

10298961400 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 10298961400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338240000).

10298961400 is an abundant number, since it is smaller than the sum of its proper divisors (22377518600).

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

10298961400 is a wasteful number, since it uses less digits than its factorization.

10298961400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 10298961400 in words is "ten billion, two hundred ninety-eight million, nine hundred sixty-one thousand, four hundred".