19090420352640 has 1152 divisors, whose sum is σ = 82722137818320. Its totient is φ = 4021089730560.

The previous prime is 19090420352617. The next prime is 19090420352777. The reversal of 19090420352640 is 4625302409091.

19090420352640 is a `hidden beast` number, since 1 + 90 + 90 + 420 + 3 + 52 + 6 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 13340668590144 + 5749751762496 = 3652488^2 + 2397864^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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

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, 2351901862 + ... + 2351909978.

Almost surely, 2^{19090420352640} is an apocalyptic number.

19090420352640 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 19090420352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41361068909160).

19090420352640 is an abundant number, since it is smaller than the sum of its proper divisors (63631717465680).

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

19090420352640 is a wasteful number, since it uses less digits than its factorization.

19090420352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8810 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 19090420352640 in words is "nineteen trillion, ninety billion, four hundred twenty million, three hundred fifty-two thousand, six hundred forty".