4042653753600 has 3456 divisors, whose sum is σ = 19473206968320. Its totient is φ = 812934144000.

The previous prime is 4042653753581. The next prime is 4042653753653. The reversal of 4042653753600 is 63573562404.

4042653753600 is a `hidden beast` number, since 4 + 0 + 4 + 2 + 6 + 5 + 37 + 5 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 130408185585 + ... + 130408185615.

Almost surely, 2^{4042653753600} is an apocalyptic number.

4042653753600 is a gapful number since it is divisible by the number (40) 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 4042653753600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9736603484160).

4042653753600 is an abundant number, since it is smaller than the sum of its proper divisors (15430553214720).

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

4042653753600 is an frugal number, since it uses more digits than its factorization.

4042653753600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 4042653753600 in words is "four trillion, forty-two billion, six hundred fifty-three million, seven hundred fifty-three thousand, six hundred".