1010854904400 has 720 divisors, whose sum is σ = 4092354197568. Its totient is φ = 228341760000.

The previous prime is 1010854904387. The next prime is 1010854904431. The reversal of 1010854904400 is 44094580101.

1010854904400 is a `hidden beast` number, since 1 + 0 + 108 + 549 + 0 + 4 + 4 + 0 + 0 = 666.

1010854904400 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 (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67985767 + ... + 68000633.

Almost surely, 2^{1010854904400} is an apocalyptic number.

1010854904400 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 1010854904400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046177098784).

1010854904400 is an abundant number, since it is smaller than the sum of its proper divisors (3081499293168).

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

1010854904400 is a wasteful number, since it uses less digits than its factorization.

1010854904400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15020 (or 15006 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1010854904400 in words is "one trillion, ten billion, eight hundred fifty-four million, nine hundred four thousand, four hundred".