61007271444 has 288 divisors, whose sum is σ = 191032773120. Its totient is φ = 16775942400.

The previous prime is 61007271427. The next prime is 61007271467. The reversal of 61007271444 is 44417270016.

It is a happy number.

61007271444 is a `hidden beast` number, since 610 + 0 + 7 + 27 + 14 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61007271399 and 61007271408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15170154 + ... + 15174174.

It is an arithmetic number, because the mean of its divisors is an integer number (663308240).

Almost surely, 2^61007271444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61007271444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95516386560).

61007271444 is an abundant number, since it is smaller than the sum of its proper divisors (130025501676).

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

61007271444 is a wasteful number, since it uses less digits than its factorization.

61007271444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4141 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 61007271444 in words is "sixty-one billion, seven million, two hundred seventy-one thousand, four hundred forty-four".