1213404440400 has 480 divisors, whose sum is σ = 4743803520000. Its totient is φ = 293215127040.

The previous prime is 1213404440333. The next prime is 1213404440473. The reversal of 1213404440400 is 40444043121.

1213404440400 is a `hidden beast` number, since 1 + 213 + 4 + 0 + 4 + 4 + 40 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 4591051 + ... + 4848149.

It is an arithmetic number, because the mean of its divisors is an integer number (9882924000).

Almost surely, 2^{1213404440400} is an apocalyptic number.

1213404440400 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 1213404440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371901760000).

1213404440400 is an abundant number, since it is smaller than the sum of its proper divisors (3530399079600).

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

1213404440400 is a wasteful number, since it uses less digits than its factorization.

1213404440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257168 (or 257151 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1213404440400 its reverse (40444043121), we get a palindrome (1253848483521).

The spelling of 1213404440400 in words is "one trillion, two hundred thirteen billion, four hundred four million, four hundred forty thousand, four hundred".