1405055151400 has 48 divisors (see below), whose sum is σ = 3271046292540. Its totient is φ = 561283468800.

The previous prime is 1405055151359. The next prime is 1405055151431. The reversal of 1405055151400 is 41515505041.

It can be written as a sum of positive squares in 6 ways, for example, as 247309279204 + 1157745872196 = 497302^2 + 1075986^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4463619 + ... + 4768018.

Almost surely, 2^{1405055151400} is an apocalyptic number.

1405055151400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1405055151400 is an abundant number, since it is smaller than the sum of its proper divisors (1865991141140).

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

1405055151400 is a wasteful number, since it uses less digits than its factorization.

1405055151400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9232414 (or 9232405 counting only the distinct ones).

The product of its (nonzero) digits is 10000, while the sum is 31.

The spelling of 1405055151400 in words is "one trillion, four hundred five billion, fifty-five million, one hundred fifty-one thousand, four hundred".