61294870355040 has 2304 divisors, whose sum is σ = 280392400189440. Its totient is φ = 12200013987840.

The previous prime is 61294870354867. The next prime is 61294870355119. The reversal of 61294870355040 is 4055307849216.

It is a happy number.

61294870355040 is a `hidden beast` number, since 6 + 1 + 2 + 9 + 4 + 87 + 0 + 3 + 550 + 4 + 0 = 666.

It is a super-2 number, since 2×61294870355040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7980060000 + ... + 7980067680.

It is an arithmetic number, because the mean of its divisors is an integer number (121698090360).

It is a 1-persistent number, because it is pandigital, but 2⋅61294870355040 = 122589740710080 is not.

Almost surely, 2^{61294870355040} is an apocalyptic number.

61294870355040 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 61294870355040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140196200094720).

61294870355040 is an abundant number, since it is smaller than the sum of its proper divisors (219097529834400).

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

61294870355040 is a wasteful number, since it uses less digits than its factorization.

61294870355040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7810 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 61294870355040 in words is "sixty-one trillion, two hundred ninety-four billion, eight hundred seventy million, three hundred fifty-five thousand, forty".