1341401400400 has 60 divisors (see below), whose sum is σ = 3223612315612. Its totient is φ = 536411473920.

The previous prime is 1341401400379. The next prime is 1341401400421. The reversal of 1341401400400 is 40041041431.

It is an interprime number because it is at equal distance from previous prime (1341401400379) and next prime (1341401400421).

It can be written as a sum of positive squares in 6 ways, for example, as 377792163904 + 963609236496 = 614648^2 + 981636^2 .

It is a super-2 number, since 2×1341401400400² (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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 981112 + ... + 1909288.

Almost surely, 2^{1341401400400} is an apocalyptic number.

1341401400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1341401400400 is an abundant number, since it is smaller than the sum of its proper divisors (1882210915212).

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

1341401400400 is a wasteful number, since it uses less digits than its factorization.

1341401400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931808 (or 931797 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1341401400400 its reverse (40041041431), we get a palindrome (1381442441831).

The spelling of 1341401400400 in words is "one trillion, three hundred forty-one billion, four hundred one million, four hundred thousand, four hundred".