228720599040000 has 1360 divisors, whose sum is σ = 796132552033280. Its totient is φ = 58321797120000.

The previous prime is 228720599039971. The next prime is 228720599040029. The reversal of 228720599040000 is 40995027822.

It is an interprime number because it is at equal distance from previous prime (228720599039971) and next prime (228720599040029).

It is a super-2 number, since 2×228720599040000² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 369500159691 + ... + 369500160309.

Almost surely, 2^{228720599040000} is an apocalyptic number.

228720599040000 is a gapful number since it is divisible by the number (20) 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 228720599040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398066276016640).

228720599040000 is an abundant number, since it is smaller than the sum of its proper divisors (567411952993280).

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

228720599040000 is an frugal number, since it uses more digits than its factorization.

228720599040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 228720599040000 in words is "two hundred twenty-eight trillion, seven hundred twenty billion, five hundred ninety-nine million, forty thousand".