55061404004040 has 256 divisors, whose sum is σ = 189196729344000. Its totient is φ = 12557842698240.

The previous prime is 55061404003993. The next prime is 55061404004051. The reversal of 55061404004040 is 4040040416055.

It is a super-2 number, since 2×55061404004040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55061404003992 and 55061404004010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711064125 + ... + 711141555.

It is an arithmetic number, because the mean of its divisors is an integer number (739049724000).

Almost surely, 2^{55061404004040} 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 55061404004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94598364672000).

55061404004040 is an abundant number, since it is smaller than the sum of its proper divisors (134135325339960).

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

55061404004040 is a wasteful number, since it uses less digits than its factorization.

55061404004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79300 (or 79296 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 55061404004040 in words is "fifty-five trillion, sixty-one billion, four hundred four million, four thousand, forty".