1126043201400 has 384 divisors, whose sum is σ = 3822730329600. Its totient is φ = 272521267200.

The previous prime is 1126043201267. The next prime is 1126043201411. The reversal of 1126043201400 is 41023406211.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 215425587 + ... + 215430813.

It is an arithmetic number, because the mean of its divisors is an integer number (9955026900).

Almost surely, 2^{1126043201400} is an apocalyptic number.

1126043201400 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 1126043201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911365164800).

1126043201400 is an abundant number, since it is smaller than the sum of its proper divisors (2696687128200).

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

1126043201400 is a wasteful number, since it uses less digits than its factorization.

1126043201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1126043201400 its reverse (41023406211), we get a palindrome (1167066607611).

The spelling of 1126043201400 in words is "one trillion, one hundred twenty-six billion, forty-three million, two hundred one thousand, four hundred".