1334010401000 has 64 divisors (see below), whose sum is σ = 3168175308480. Its totient is φ = 525639892800.

The previous prime is 1334010400951. The next prime is 1334010401033. The reversal of 1334010401000 is 1040104331.

It is a self number, because there is not a number n which added to its sum of digits gives 1334010401000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9888302 + ... + 10022301.

It is an arithmetic number, because the mean of its divisors is an integer number (49502739195).

Almost surely, 2^{1334010401000} is an apocalyptic number.

1334010401000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1334010401000 is an abundant number, since it is smaller than the sum of its proper divisors (1834164907480).

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

1334010401000 is a wasteful number, since it uses less digits than its factorization.

1334010401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19910691 (or 19910677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1334010401000 its reverse (1040104331), we get a palindrome (1335050505331).

The spelling of 1334010401000 in words is "one trillion, three hundred thirty-four billion, ten million, four hundred one thousand".