1535445220400 has 240 divisors, whose sum is σ = 4580384378304. Its totient is φ = 481641431040.

The previous prime is 1535445220373. The next prime is 1535445220453. The reversal of 1535445220400 is 40225445351.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3926552 + ... + 4299848.

Almost surely, 2^{1535445220400} is an apocalyptic number.

1535445220400 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 1535445220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2290192189152).

1535445220400 is an abundant number, since it is smaller than the sum of its proper divisors (3044939157904).

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

1535445220400 is a wasteful number, since it uses less digits than its factorization.

1535445220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373448 (or 373437 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 1535445220400 in words is "one trillion, five hundred thirty-five billion, four hundred forty-five million, two hundred twenty thousand, four hundred".