10414958400 has 1344 divisors, whose sum is σ = 49345413120. Its totient is φ = 2073600000.

The previous prime is 10414958383. The next prime is 10414958401. The reversal of 10414958400 is 485941401.

10414958400 is a `hidden beast` number, since 104 + 149 + 5 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414958401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 103118350 + ... + 103118450.

Almost surely, 2^10414958400 is an apocalyptic number.

10414958400 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 10414958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24672706560).

10414958400 is an abundant number, since it is smaller than the sum of its proper divisors (38930454720).

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

10414958400 is a wasteful number, since it uses less digits than its factorization.

10414958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10414958400 in words is "ten billion, four hundred fourteen million, nine hundred fifty-eight thousand, four hundred".