742092503040 has 2160 divisors, whose sum is σ = 3365461499400. Its totient is φ = 155510046720.

The previous prime is 742092503023. The next prime is 742092503099. The reversal of 742092503040 is 40305290247.

742092503040 is a `hidden beast` number, since 7 + 4 + 20 + 92 + 503 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a junction number, because it is equal to n+sod(n) for n = 742092502986 and 742092503004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 23938467825 + ... + 23938467855.

Almost surely, 2^742092503040 is an apocalyptic number.

742092503040 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 742092503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682730749700).

742092503040 is an abundant number, since it is smaller than the sum of its proper divisors (2623368996360).

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

742092503040 is a wasteful number, since it uses less digits than its factorization.

742092503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 742092503040 its reverse (40305290247), we get a palindrome (782397793287).

The spelling of 742092503040 in words is "seven hundred forty-two billion, ninety-two million, five hundred three thousand, forty".