10047407400 has 192 divisors, whose sum is σ = 36112867200. Its totient is φ = 2562785280.

The previous prime is 10047407399. The next prime is 10047407401. The reversal of 10047407400 is 470474001.

10047407400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10047407399) and next prime (10047407401).

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

It is not an unprimeable number, because it can be changed into a prime (10047407401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83752 + ... + 164648.

It is an arithmetic number, because the mean of its divisors is an integer number (188087850).

Almost surely, 2^10047407400 is an apocalyptic number.

10047407400 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 10047407400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18056433600).

10047407400 is an abundant number, since it is smaller than the sum of its proper divisors (26065459800).

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

10047407400 is a wasteful number, since it uses less digits than its factorization.

10047407400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80945 (or 80930 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 10047407400 in words is "ten billion, forty-seven million, four hundred seven thousand, four hundred".