4902268036000 has 192 divisors, whose sum is σ = 12809126846880. Its totient is φ = 1837494681600.

The previous prime is 4902268035997. The next prime is 4902268036007. The reversal of 4902268036000 is 6308622094.

It can be written as a sum of positive squares in 16 ways, for example, as 172460800656 + 4729807235344 = 415284^2 + 2174812^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (4902268036007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15414594 + ... + 15729406.

Almost surely, 2^{4902268036000} is an apocalyptic number.

4902268036000 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 4902268036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6404563423440).

4902268036000 is an abundant number, since it is smaller than the sum of its proper divisors (7906858810880).

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

4902268036000 is a wasteful number, since it uses less digits than its factorization.

4902268036000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315084 (or 315066 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

It can be divided in two parts, 490 and 2268036000, that multiplied together give a square (1111337640000 = 1054200²).

The spelling of 4902268036000 in words is "four trillion, nine hundred two billion, two hundred sixty-eight million, thirty-six thousand".