10000141001400 has 288 divisors, whose sum is σ = 35868279283200. Its totient is φ = 2296682784000.

The previous prime is 10000141001399. The next prime is 10000141001407. The reversal of 10000141001400 is 410014100001.

It is a super-3 number, since 3×10000141001400³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000141001407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2245416 + ... + 5004215.

It is an arithmetic number, because the mean of its divisors is an integer number (124542636400).

Almost surely, 2^{10000141001400} is an apocalyptic number.

10000141001400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000141001400 is an abundant number, since it is smaller than the sum of its proper divisors (25868138281800).

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

10000141001400 is a wasteful number, since it uses less digits than its factorization.

10000141001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249691 (or 7249671 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000141001400 its reverse (410014100001), we get a palindrome (10410155101401).

The spelling of 10000141001400 in words is "ten trillion, one hundred forty-one million, one thousand, four hundred".