42453438009192 has 480 divisors, whose sum is σ = 148051569093120. Its totient is φ = 11120460399360.

The previous prime is 42453438009149. The next prime is 42453438009329. The reversal of 42453438009192 is 29190083435424.

It is a happy number.

42453438009192 is a `hidden beast` number, since 4 + 2 + 45 + 34 + 380 + 0 + 9 + 192 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50344218 + ... + 51180534.

It is an arithmetic number, because the mean of its divisors is an integer number (308440768944).

Almost surely, 2^{42453438009192} is an apocalyptic number.

42453438009192 is a gapful number since it is divisible by the number (42) 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 42453438009192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74025784546560).

42453438009192 is an abundant number, since it is smaller than the sum of its proper divisors (105598131083928).

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

42453438009192 is a wasteful number, since it uses less digits than its factorization.

42453438009192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836411 (or 836379 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 42453438009192 in words is "forty-two trillion, four hundred fifty-three billion, four hundred thirty-eight million, nine thousand, one hundred ninety-two".