42129901653840 has 1920 divisors, whose sum is σ = 198453930135552. Its totient is φ = 8021368258560.

The previous prime is 42129901653787. The next prime is 42129901653877. The reversal of 42129901653840 is 4835610992124.

It is a happy number.

42129901653840 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 9 + 90 + 16 + 538 + 4 + 0 = 666.

It is a super-2 number, since 2×42129901653840² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 2665935379 + ... + 2665951181.

Almost surely, 2^{42129901653840} is an apocalyptic number.

42129901653840 is a gapful number since it is divisible by the number (40) 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 42129901653840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99226965067776).

42129901653840 is an abundant number, since it is smaller than the sum of its proper divisors (156324028481712).

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

42129901653840 is a wasteful number, since it uses less digits than its factorization.

42129901653840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15999 (or 15981 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 42129901653840 in words is "forty-two trillion, one hundred twenty-nine billion, nine hundred one million, six hundred fifty-three thousand, eight hundred forty".