49802225462400 has 384 divisors, whose sum is σ = 166293949631040. Its totient is φ = 13098336256000.

The previous prime is 49802225462387. The next prime is 49802225462417. The reversal of 49802225462400 is 426452220894.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×49802225462400² (a number of 28 digits) contains 22 as substring.

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 49802225462400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 472449700 + ... + 472555100.

Almost surely, 2^{49802225462400} is an apocalyptic number.

49802225462400 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 49802225462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83146974815520).

49802225462400 is an abundant number, since it is smaller than the sum of its proper divisors (116491724168640).

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

49802225462400 is a wasteful number, since it uses less digits than its factorization.

49802225462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106104 (or 106087 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 49802225462400 in words is "forty-nine trillion, eight hundred two billion, two hundred twenty-five million, four hundred sixty-two thousand, four hundred".