10470398400 has 1512 divisors, whose sum is σ = 50411237760. Its totient is φ = 2032128000.

The previous prime is 10470398377. The next prime is 10470398453. The reversal of 10470398400 is 489307401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 147470365 + ... + 147470435.

Almost surely, 2^10470398400 is an apocalyptic number.

10470398400 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 10470398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25205618880).

10470398400 is an abundant number, since it is smaller than the sum of its proper divisors (39940839360).

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

10470398400 is a wasteful number, since it uses less digits than its factorization.

10470398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10470398400 in words is "ten billion, four hundred seventy million, three hundred ninety-eight thousand, four hundred".