1031000678400 has 2688 divisors, whose sum is σ = 4742965002240. Its totient is φ = 191102976000.

The previous prime is 1031000678387. The next prime is 1031000678441. The reversal of 1031000678400 is 48760001301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×1031000678400² (a number of 25 digits) contains 22 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27864883182 + ... + 27864883218.

Almost surely, 2^{1031000678400} is an apocalyptic number.

1031000678400 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 1031000678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2371482501120).

1031000678400 is an abundant number, since it is smaller than the sum of its proper divisors (3711964323840).

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

1031000678400 is a wasteful number, since it uses less digits than its factorization.

1031000678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 1031000678400 its reverse (48760001301), we get a palindrome (1079760679701).

The spelling of 1031000678400 in words is "one trillion, thirty-one billion, six hundred seventy-eight thousand, four hundred".