1400123114400 has 288 divisors, whose sum is σ = 4827331531008. Its totient is φ = 351268864000.

The previous prime is 1400123114381. The next prime is 1400123114419. The reversal of 1400123114400 is 44113210041.

It is an interprime number because it is at equal distance from previous prime (1400123114381) and next prime (1400123114419).

It is a super-3 number, since 3×1400123114400³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146589625 + ... + 146599175.

It is an arithmetic number, because the mean of its divisors is an integer number (16761567816).

Almost surely, 2^{1400123114400} is an apocalyptic number.

1400123114400 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 1400123114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413665765504).

1400123114400 is an abundant number, since it is smaller than the sum of its proper divisors (3427208416608).

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

1400123114400 is a wasteful number, since it uses less digits than its factorization.

1400123114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13184 (or 13171 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1400123114400 its reverse (44113210041), we get a palindrome (1444236324441).

The spelling of 1400123114400 in words is "one trillion, four hundred billion, one hundred twenty-three million, one hundred fourteen thousand, four hundred".