245294390040 has 384 divisors, whose sum is σ = 897101568000. Its totient is φ = 53398152192.

The previous prime is 245294390023. The next prime is 245294390053. The reversal of 245294390040 is 40093492542.

It is a super-3 number, since 3×245294390040³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 245294389974 and 245294390001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32318566 + ... + 32326154.

It is an arithmetic number, because the mean of its divisors is an integer number (2336202000).

Almost surely, 2^245294390040 is an apocalyptic number.

245294390040 is a gapful number since it is divisible by the number (20) 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 245294390040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448550784000).

245294390040 is an abundant number, since it is smaller than the sum of its proper divisors (651807177960).

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

245294390040 is a wasteful number, since it uses less digits than its factorization.

245294390040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7879 (or 7868 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 245294390040 in words is "two hundred forty-five billion, two hundred ninety-four million, three hundred ninety thousand, forty".