1401054418400 has 144 divisors (see below), whose sum is σ = 4209629878944. Its totient is φ = 443410606080.

The previous prime is 1401054418349. The next prime is 1401054418411. The reversal of 1401054418400 is 48144501041.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9549827 + ... + 9695426.

It is an arithmetic number, because the mean of its divisors is an integer number (29233540826).

Almost surely, 2^{1401054418400} is an apocalyptic number.

1401054418400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1401054418400 is an abundant number, since it is smaller than the sum of its proper divisors (2808575460544).

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

1401054418400 is a wasteful number, since it uses less digits than its factorization.

1401054418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19245293 (or 19245280 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

Adding to 1401054418400 its reverse (48144501041), we get a palindrome (1449198919441).

The spelling of 1401054418400 in words is "one trillion, four hundred one billion, fifty-four million, four hundred eighteen thousand, four hundred".