1406454034400 has 144 divisors (see below), whose sum is σ = 3527408043936. Its totient is φ = 547205253120.

The previous prime is 1406454034399. The next prime is 1406454034423. The reversal of 1406454034400 is 44304546041.

It is a super-2 number, since 2×1406454034400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137250077 + ... + 137260323.

It is an arithmetic number, because the mean of its divisors is an integer number (24495889194).

Almost surely, 2^{1406454034400} is an apocalyptic number.

1406454034400 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 1406454034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763704021968).

1406454034400 is an abundant number, since it is smaller than the sum of its proper divisors (2120954009536).

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

1406454034400 is a wasteful number, since it uses less digits than its factorization.

1406454034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14941 (or 14928 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 1406454034400 in words is "one trillion, four hundred six billion, four hundred fifty-four million, thirty-four thousand, four hundred".