49961190400 has 297 divisors, whose sum is σ = 137205519717. Its totient is φ = 18024652800.

The previous prime is 49961190371. The next prime is 49961190439. The reversal of 49961190400 is 409116994.

It is a happy number.

The square root of 49961190400 is 223520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 17986028544 + 31975161856 = 134112^2 + 178816^2 .

It is a super-2 number, since 2×49961190400² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 393395137 + ... + 393395263.

Almost surely, 2^49961190400 is an apocalyptic number.

49961190400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49961190400 is the 223520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49961190400

49961190400 is an abundant number, since it is smaller than the sum of its proper divisors (87244329317).

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

49961190400 is a wasteful number, since it uses less digits than its factorization.

49961190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 49961190400 in words is "forty-nine billion, nine hundred sixty-one million, one hundred ninety thousand, four hundred".