61276441226400 has 2592 divisors, whose sum is σ = 247457569701888. Its totient is φ = 14752291276800.

The previous prime is 61276441226339. The next prime is 61276441226417. The reversal of 61276441226400 is 462214467216.

It is a happy number.

61276441226400 is a `hidden beast` number, since 6 + 12 + 7 + 6 + 4 + 4 + 1 + 226 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 482491663137 + ... + 482491663263.

Almost surely, 2^{61276441226400} is an apocalyptic number.

61276441226400 is a gapful number since it is divisible by the number (60) 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 61276441226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123728784850944).

61276441226400 is an abundant number, since it is smaller than the sum of its proper divisors (186181128475488).

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

61276441226400 is a wasteful number, since it uses less digits than its factorization.

61276441226400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 61276441226400 in words is "sixty-one trillion, two hundred seventy-six billion, four hundred forty-one million, two hundred twenty-six thousand, four hundred".