1954409878512 has 1280 divisors, whose sum is σ = 7594180608000. Its totient is φ = 476798192640.

The previous prime is 1954409878511. The next prime is 1954409878513. The reversal of 1954409878512 is 2158789044591.

1954409878512 is a `hidden beast` number, since 1 + 9 + 5 + 4 + 40 + 9 + 8 + 78 + 512 = 666.

It is an interprime number because it is at equal distance from previous prime (1954409878511) and next prime (1954409878513).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1954409878512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1954409878511) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1373442633 + ... + 1373444055.

It is an arithmetic number, because the mean of its divisors is an integer number (5932953600).

Almost surely, 2^{1954409878512} is an apocalyptic number.

1954409878512 is a gapful number since it is divisible by the number (12) 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 1954409878512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797090304000).

1954409878512 is an abundant number, since it is smaller than the sum of its proper divisors (5639770729488).

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

1954409878512 is a wasteful number, since it uses less digits than its factorization.

1954409878512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 1954409878512 in words is "one trillion, nine hundred fifty-four billion, four hundred nine million, eight hundred seventy-eight thousand, five hundred twelve".