1355404410540 has 72 divisors (see below), whose sum is σ = 4132696040928. Its totient is φ = 359568414720.

The previous prime is 1355404410527. The next prime is 1355404410557. The reversal of 1355404410540 is 450144045531.

1355404410540 is a `hidden beast` number, since 1 + 3 + 5 + 540 + 4 + 4 + 105 + 4 + 0 = 666.

It is a super-2 number, since 2×1355404410540² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1355404410495 and 1355404410504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19473096 + ... + 19542575.

It is an arithmetic number, because the mean of its divisors is an integer number (57398556124).

Almost surely, 2^{1355404410540} is an apocalyptic number.

1355404410540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1355404410540 is an abundant number, since it is smaller than the sum of its proper divisors (2777291630388).

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

1355404410540 is a wasteful number, since it uses less digits than its factorization.

1355404410540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39015879 (or 39015874 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 1355404410540 in words is "one trillion, three hundred fifty-five billion, four hundred four million, four hundred ten thousand, five hundred forty".