901465424640 has 576 divisors, whose sum is σ = 3695070597120. Its totient is φ = 205680476160.

The previous prime is 901465424621. The next prime is 901465424659. The reversal of 901465424640 is 46424564109.

901465424640 is a `hidden beast` number, since 9 + 0 + 1 + 46 + 542 + 4 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (901465424621) and next prime (901465424659).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6392977 + ... + 6532463.

It is an arithmetic number, because the mean of its divisors is an integer number (6415053120).

Almost surely, 2^901465424640 is an apocalyptic number.

901465424640 is a gapful number since it is divisible by the number (90) 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 901465424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847535298560).

901465424640 is an abundant number, since it is smaller than the sum of its proper divisors (2793605172480).

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

901465424640 is a wasteful number, since it uses less digits than its factorization.

901465424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139545 (or 139525 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 901465424640 its reverse (46424564109), we get a palindrome (947889988749).

The spelling of 901465424640 in words is "nine hundred one billion, four hundred sixty-five million, four hundred twenty-four thousand, six hundred forty".