4204265472000 has 1288 divisors, whose sum is σ = 17163895228272. Its totient is φ = 1019215872000.

The previous prime is 4204265471983. The next prime is 4204265472023. The reversal of 4204265472000 is 2745624024.

4204265472000 is a `hidden beast` number, since 4 + 20 + 426 + 5 + 4 + 7 + 200 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 382205951995 + ... + 382205952005.

Almost surely, 2^{4204265472000} is an apocalyptic number.

4204265472000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4204265472000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4204265472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8581947614136).

4204265472000 is an abundant number, since it is smaller than the sum of its proper divisors (12959629756272).

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

4204265472000 is an frugal number, since it uses more digits than its factorization.

4204265472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 4204265472000 in words is "four trillion, two hundred four billion, two hundred sixty-five million, four hundred seventy-two thousand".