1051005504420 has 288 divisors, whose sum is σ = 3381460992000. Its totient is φ = 263497155840.

The previous prime is 1051005504407. The next prime is 1051005504457. The reversal of 1051005504420 is 244055001501.

1051005504420 is a `hidden beast` number, since 1 + 0 + 5 + 100 + 550 + 4 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×1051005504420² (a number of 25 digits) contains 22 as substring.

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, 312890701 + ... + 312894059.

It is an arithmetic number, because the mean of its divisors is an integer number (11741184000).

Almost surely, 2^{1051005504420} is an apocalyptic number.

1051005504420 is a gapful number since it is divisible by the number (10) 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 1051005504420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690730496000).

1051005504420 is an abundant number, since it is smaller than the sum of its proper divisors (2330455487580).

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

1051005504420 is a wasteful number, since it uses less digits than its factorization.

1051005504420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4063 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 1051005504420 in words is "one trillion, fifty-one billion, five million, five hundred four thousand, four hundred twenty".