1653342794400 has 288 divisors, whose sum is σ = 5917109280768. Its totient is φ = 397653580800.

The previous prime is 1653342794387. The next prime is 1653342794407. The reversal of 1653342794400 is 44972433561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1653342794400.

It is not an unprimeable number, because it can be changed into a prime (1653342794407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3106239 + ... + 3599361.

It is an arithmetic number, because the mean of its divisors is an integer number (20545518336).

Almost surely, 2^{1653342794400} is an apocalyptic number.

1653342794400 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 1653342794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2958554640384).

1653342794400 is an abundant number, since it is smaller than the sum of its proper divisors (4263766486368).

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

1653342794400 is a wasteful number, since it uses less digits than its factorization.

1653342794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493284 (or 493271 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 1653342794400 in words is "one trillion, six hundred fifty-three billion, three hundred forty-two million, seven hundred ninety-four thousand, four hundred".