42878535253400 has 192 divisors, whose sum is σ = 124480702368000. Its totient is φ = 13344454771200.

The previous prime is 42878535253399. The next prime is 42878535253423. The reversal of 42878535253400 is 435253587824.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8036066 + ... + 12261134.

It is an arithmetic number, because the mean of its divisors is an integer number (648336991500).

Almost surely, 2^{42878535253400} is an apocalyptic number.

42878535253400 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 42878535253400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62240351184000).

42878535253400 is an abundant number, since it is smaller than the sum of its proper divisors (81602167114600).

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

42878535253400 is a wasteful number, since it uses less digits than its factorization.

42878535253400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225762 (or 4225753 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 56.

The spelling of 42878535253400 in words is "forty-two trillion, eight hundred seventy-eight billion, five hundred thirty-five million, two hundred fifty-three thousand, four hundred".