742026146400 has 864 divisors, whose sum is σ = 3286027180800. Its totient is φ = 153062092800.

The previous prime is 742026146383. The next prime is 742026146419. The reversal of 742026146400 is 4641620247.

742026146400 is a `hidden beast` number, since 7 + 4 + 2 + 0 + 2 + 6 + 1 + 4 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 77056786 + ... + 77066414.

It is an arithmetic number, because the mean of its divisors is an integer number (3803272200).

Almost surely, 2^742026146400 is an apocalyptic number.

742026146400 is a gapful number since it is divisible by the number (70) 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 742026146400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643013590400).

742026146400 is an abundant number, since it is smaller than the sum of its proper divisors (2544001034400).

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

742026146400 is a wasteful number, since it uses less digits than its factorization.

742026146400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9812 (or 9796 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 742026146400 its reverse (4641620247), we get a palindrome (746667766647).

The spelling of 742026146400 in words is "seven hundred forty-two billion, twenty-six million, one hundred forty-six thousand, four hundred".