1406121362660 has 288 divisors, whose sum is σ = 3736428030720. Its totient is φ = 441810969600.

The previous prime is 1406121362617. The next prime is 1406121362663. The reversal of 1406121362660 is 662631216041.

It is not an unprimeable number, because it can be changed into a prime (1406121362663) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85621250 + ... + 85637670.

It is an arithmetic number, because the mean of its divisors is an integer number (12973708440).

Almost surely, 2^{1406121362660} is an apocalyptic number.

1406121362660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406121362660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868214015360).

1406121362660 is an abundant number, since it is smaller than the sum of its proper divisors (2330306668060).

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

1406121362660 is a wasteful number, since it uses less digits than its factorization.

1406121362660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16627 (or 16618 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The spelling of 1406121362660 in words is "one trillion, four hundred six billion, one hundred twenty-one million, three hundred sixty-two thousand, six hundred sixty".