1406336146900 has 36 divisors (see below), whose sum is σ = 3231264115548. Its totient is φ = 529444195840.

The previous prime is 1406336146889. The next prime is 1406336146909. The reversal of 1406336146900 is 96416336041.

It can be written as a sum of positive squares in 6 ways, for example, as 2499800004 + 1403836346896 = 49998^2 + 1184836^2 .

It is a super-2 number, since 2×1406336146900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406336146909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413626579 + ... + 413629978.

It is an arithmetic number, because the mean of its divisors is an integer number (89757336543).

Almost surely, 2^{1406336146900} is an apocalyptic number.

1406336146900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1406336146900 is an abundant number, since it is smaller than the sum of its proper divisors (1824927968648).

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

1406336146900 is a wasteful number, since it uses less digits than its factorization.

1406336146900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827256588 (or 827256581 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 43.

The spelling of 1406336146900 in words is "one trillion, four hundred six billion, three hundred thirty-six million, one hundred forty-six thousand, nine hundred".