1041213554400 has 72 divisors (see below), whose sum is σ = 3389150127384. Its totient is φ = 277656947200.

The previous prime is 1041213554357. The next prime is 1041213554461. The reversal of 1041213554400 is 44553121401.

It is a super-3 number, since 3×1041213554400³ (a number of 37 digits) contains 333 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216917091 + ... + 216921890.

It is an arithmetic number, because the mean of its divisors is an integer number (47071529547).

Almost surely, 2^{1041213554400} is an apocalyptic number.

1041213554400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041213554400 is an abundant number, since it is smaller than the sum of its proper divisors (2347936572984).

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

1041213554400 is a wasteful number, since it uses less digits than its factorization.

1041213554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433839004 (or 433838991 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 1041213554400 its reverse (44553121401), we get a palindrome (1085766675801).

The spelling of 1041213554400 in words is "one trillion, forty-one billion, two hundred thirteen million, five hundred fifty-four thousand, four hundred".