1954420227840 has 288 divisors, whose sum is σ = 6631700604480. Its totient is φ = 489605824512.

The previous prime is 1954420227821. The next prime is 1954420227847. The reversal of 1954420227840 is 487220244591.

It is a happy number.

It is a super-2 number, since 2×1954420227840² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1954420227840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1954420227847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3883152 + ... + 4357488.

It is an arithmetic number, because the mean of its divisors is an integer number (23026738210).

Almost surely, 2^{1954420227840} is an apocalyptic number.

1954420227840 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 1954420227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315850302240).

1954420227840 is an abundant number, since it is smaller than the sum of its proper divisors (4677280376640).

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

1954420227840 is a wasteful number, since it uses less digits than its factorization.

1954420227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474427 (or 474413 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 1954420227840 in words is "one trillion, nine hundred fifty-four billion, four hundred twenty million, two hundred twenty-seven thousand, eight hundred forty".