1406887344954 has 512 divisors, whose sum is σ = 4255856640000. Its totient is φ = 333902435328.

The previous prime is 1406887344949. The next prime is 1406887344979. The reversal of 1406887344954 is 4594437886041.

1406887344954 is a `hidden beast` number, since 1 + 4 + 0 + 68 + 87 + 3 + 4 + 495 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1406887344891 and 1406887344900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 319963084 + ... + 319967480.

It is an arithmetic number, because the mean of its divisors is an integer number (8312220000).

Almost surely, 2^{1406887344954} is an apocalyptic number.

1406887344954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406887344954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127928320000).

1406887344954 is an abundant number, since it is smaller than the sum of its proper divisors (2848969295046).

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

1406887344954 is a wasteful number, since it uses less digits than its factorization.

1406887344954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4619 (or 4613 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 1406887344954 in words is "one trillion, four hundred six billion, eight hundred eighty-seven million, three hundred forty-four thousand, nine hundred fifty-four".