62121328043040 has 2304 divisors, whose sum is σ = 268092527431680. Its totient is φ = 13544423424000.

The previous prime is 62121328042957. The next prime is 62121328043053. The reversal of 62121328043040 is 4034082312126.

62121328043040 is a `hidden beast` number, since 6 + 2 + 1 + 21 + 328 + 0 + 4 + 304 + 0 = 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 = 62121328042986 and 62121328043004.

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, 38801578240 + ... + 38801579840.

It is an arithmetic number, because the mean of its divisors is an integer number (116359603920).

Almost surely, 2^{62121328043040} is an apocalyptic number.

62121328043040 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 62121328043040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134046263715840).

62121328043040 is an abundant number, since it is smaller than the sum of its proper divisors (205971199388640).

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

62121328043040 is a wasteful number, since it uses less digits than its factorization.

62121328043040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1722 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 62121328043040 in words is "sixty-two trillion, one hundred twenty-one billion, three hundred twenty-eight million, forty-three thousand, forty".