1084754406420 has 288 divisors, whose sum is σ = 3563679799680. Its totient is φ = 266151951360.

The previous prime is 1084754406397. The next prime is 1084754406451. The reversal of 1084754406420 is 246044574801.

1084754406420 is a `hidden beast` number, since 1 + 0 + 8 + 47 + 544 + 0 + 64 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72246834 + ... + 72261846.

Almost surely, 2^{1084754406420} is an apocalyptic number.

1084754406420 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 1084754406420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781839899840).

1084754406420 is an abundant number, since it is smaller than the sum of its proper divisors (2478925393260).

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

1084754406420 is a wasteful number, since it uses less digits than its factorization.

1084754406420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15655 (or 15650 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 1084754406420 in words is "one trillion, eighty-four billion, seven hundred fifty-four million, four hundred six thousand, four hundred twenty".