1046987078400 has 972 divisors, whose sum is σ = 4130955023832. Its totient is φ = 261452759040.

The previous prime is 1046987078393. The next prime is 1046987078461. The reversal of 1046987078400 is 48707896401.

It is a happy number.

1046987078400 is a `hidden beast` number, since 1 + 0 + 469 + 8 + 70 + 78 + 40 + 0 = 666.

1046987078400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (972).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5261241501 + ... + 5261241699.

Almost surely, 2^{1046987078400} is an apocalyptic number.

1046987078400 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 1046987078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065477511916).

1046987078400 is an abundant number, since it is smaller than the sum of its proper divisors (3083967945432).

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

1046987078400 is an frugal number, since it uses more digits than its factorization.

1046987078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 1046987078400 in words is "one trillion, forty-six billion, nine hundred eighty-seven million, seventy-eight thousand, four hundred".