1011350400 has 192 divisors, whose sum is σ = 3527653680. Its totient is φ = 253788160.

The previous prime is 1011350381. The next prime is 1011350401. The reversal of 1011350400 is 40531101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1011350400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011350401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160102 + ... + 166298.

Almost surely, 2^1011350400 is an apocalyptic number.

1011350400 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 1011350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763826840).

1011350400 is an abundant number, since it is smaller than the sum of its proper divisors (2516303280).

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

1011350400 is a wasteful number, since it uses less digits than its factorization.

1011350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6241 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1011350400 is about 31801.7358016823. The cubic root of 1011350400 is about 1003.7692416341.

Adding to 1011350400 its reverse (40531101), we get a palindrome (1051881501).

The spelling of 1011350400 in words is "one billion, eleven million, three hundred fifty thousand, four hundred".