1054941369300 has 1296 divisors, whose sum is σ = 4361717675952. Its totient is φ = 211109068800.

The previous prime is 1054941369283. The next prime is 1054941369319. The reversal of 1054941369300 is 39631494501.

1054941369300 is a `hidden beast` number, since 1 + 0 + 549 + 4 + 13 + 6 + 93 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 1043854542864 + 11086826436 = 1021692^2 + 105294^2 .

It is a super-2 number, since 2×1054941369300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 869695494 + ... + 869696706.

Almost surely, 2^{1054941369300} is an apocalyptic number.

1054941369300 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 1054941369300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2180858837976).

1054941369300 is an abundant number, since it is smaller than the sum of its proper divisors (3306776306652).

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

1054941369300 is a wasteful number, since it uses less digits than its factorization.

1054941369300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

It can be divided in two parts, 1054941 and 369300, that added together give a palindrome (1424241).

The spelling of 1054941369300 in words is "one trillion, fifty-four billion, nine hundred forty-one million, three hundred sixty-nine thousand, three hundred".