1011234350400 has 168 divisors, whose sum is σ = 3343816934400. Its totient is φ = 267539005440.

The previous prime is 1011234350353. The next prime is 1011234350411. The reversal of 1011234350400 is 40534321101.

It is a happy number.

It is a super-2 number, since 2×1011234350400² (a number of 25 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 219825 + ... + 1439024.

Almost surely, 2^{1011234350400} is an apocalyptic number.

1011234350400 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 1011234350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671908467200).

1011234350400 is an abundant number, since it is smaller than the sum of its proper divisors (2332582584000).

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

1011234350400 is a wasteful number, since it uses less digits than its factorization.

1011234350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659001 (or 1658986 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 1011234350400 its reverse (40534321101), we get a palindrome (1051768671501).

The spelling of 1011234350400 in words is "one trillion, eleven billion, two hundred thirty-four million, three hundred fifty thousand, four hundred".