10344701400 has 288 divisors, whose sum is σ = 35667248400. Its totient is φ = 2478080000.

The previous prime is 10344701387. The next prime is 10344701401. The reversal of 10344701400 is 410744301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10344701401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6460600 + ... + 6462200.

Almost surely, 2^10344701400 is an apocalyptic number.

10344701400 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 10344701400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17833624200).

10344701400 is an abundant number, since it is smaller than the sum of its proper divisors (25322547000).

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

10344701400 is a wasteful number, since it uses less digits than its factorization.

10344701400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 10344701400 in words is "ten billion, three hundred forty-four million, seven hundred one thousand, four hundred".