1561735470400 has 168 divisors, whose sum is σ = 4394426486720. Its totient is φ = 535134781440.

The previous prime is 1561735470313. The next prime is 1561735470403. The reversal of 1561735470400 is 40745371651.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1561735470403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19257136 + ... + 19338064.

Almost surely, 2^{1561735470400} is an apocalyptic number.

1561735470400 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 1561735470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2197213243360).

1561735470400 is an abundant number, since it is smaller than the sum of its proper divisors (2832691016320).

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

1561735470400 is a wasteful number, since it uses less digits than its factorization.

1561735470400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82681 (or 82666 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 1561735470400 in words is "one trillion, five hundred sixty-one billion, seven hundred thirty-five million, four hundred seventy thousand, four hundred".