10002214013400 has 720 divisors, whose sum is σ = 41492314913400. Its totient is φ = 2151720990720.

The previous prime is 10002214013377. The next prime is 10002214013411. The reversal of 10002214013400 is 431041220001.

10002214013400 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 221 + 40 + 1 + 3 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 73402531 + ... + 73538669.

Almost surely, 2^{10002214013400} is an apocalyptic number.

10002214013400 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 10002214013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746157456700).

10002214013400 is an abundant number, since it is smaller than the sum of its proper divisors (31490100900000).

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

10002214013400 is a wasteful number, since it uses less digits than its factorization.

10002214013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136206 (or 136173 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10002214013400 its reverse (431041220001), we get a palindrome (10433255233401).

The spelling of 10002214013400 in words is "ten trillion, two billion, two hundred fourteen million, thirteen thousand, four hundred".