1054433240400 has 240 divisors, whose sum is σ = 3489917166720. Its totient is φ = 271990118400.

The previous prime is 1054433240321. The next prime is 1054433240401. The reversal of 1054433240400 is 40423344501.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1054433240400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054433240401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4398846 + ... + 4632354.

It is an arithmetic number, because the mean of its divisors is an integer number (14541321528).

Almost surely, 2^{1054433240400} is an apocalyptic number.

1054433240400 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 1054433240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744958583360).

1054433240400 is an abundant number, since it is smaller than the sum of its proper divisors (2435483926320).

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

1054433240400 is a wasteful number, since it uses less digits than its factorization.

1054433240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233654 (or 233643 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1054433240400 its reverse (40423344501), we get a palindrome (1094856584901).

The spelling of 1054433240400 in words is "one trillion, fifty-four billion, four hundred thirty-three million, two hundred forty thousand, four hundred".