1401214340400 has 480 divisors, whose sum is σ = 5223010705920. Its totient is φ = 314469949440.

The previous prime is 1401214340399. The next prime is 1401214340453. The reversal of 1401214340400 is 40434121041.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 710193814 + ... + 710195786.

It is an arithmetic number, because the mean of its divisors is an integer number (10881272304).

Almost surely, 2^{1401214340400} is an apocalyptic number.

1401214340400 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 1401214340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611505352960).

1401214340400 is an abundant number, since it is smaller than the sum of its proper divisors (3821796365520).

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

1401214340400 is a wasteful number, since it uses less digits than its factorization.

1401214340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3493 (or 3482 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1401214340400 its reverse (40434121041), we get a palindrome (1441648461441).

It can be divided in two parts, 140121 and 4340400, that added together give a triangular number (4480521 = T₂₉₉₃).

The spelling of 1401214340400 in words is "one trillion, four hundred one billion, two hundred fourteen million, three hundred forty thousand, four hundred".