1401054010400 has 288 divisors, whose sum is σ = 3794530634496. Its totient is φ = 500895360000.

The previous prime is 1401054010381. The next prime is 1401054010409. The reversal of 1401054010400 is 40104501041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1401054010409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154109855 + ... + 154118945.

It is an arithmetic number, because the mean of its divisors is an integer number (13175453592).

Almost surely, 2^{1401054010400} is an apocalyptic number.

1401054010400 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 1401054010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897265317248).

1401054010400 is an abundant number, since it is smaller than the sum of its proper divisors (2393476624096).

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

1401054010400 is a wasteful number, since it uses less digits than its factorization.

1401054010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9416 (or 9403 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 1401054010400 its reverse (40104501041), we get a palindrome (1441158511441).

The spelling of 1401054010400 in words is "one trillion, four hundred one billion, fifty-four million, ten thousand, four hundred".